2017/08/15 by Yurii A. Spirichev, Spirichev, Yurii A.
Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #Crystallography and Radiation Phenomena #FOS: Physical sciences #Geophysics and Sensor Technology #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1708.04578
openalex publication_date 2017/08/15 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
It is customary to assume that the law of conservation of the angular\nmomentum is violated for an asymmetric energy-momentum tensors. This is the\nreason for criticizing the Minkowski tensor and other asymmetric\nenergy-momentum tensors. In this paper, it is shown that the laws of\nconservation of energy and momentum following from an asymmetric tensor in the\nform of its total divergence are equivalent to the divergence of its symmetric\npart. It is shown that the total divergence of the antisymmetric part of the\nasymmetric tensor is identically zero. From this, it follows that for the\nasymmetric energy-momentum tensor the law of conservation of the angular\nmomentum is also fulfilled. It is shown that the linear invariant of the\nMinkowski tensor for a vacuum does not correspond to the quadratic invariant of\nthe electromagnetic field. This indicates that the linear invariant of the\nMinkowski tensor and the three-dimensional stress tensor are not correct.\n